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100020210102021 = 311101311101994693
BaseRepresentation
bin10110101111011111000101…
…000101111110111100000101
3111010010211122102012002022210
4112233133011011332330011
5101102212342241231041
6552420352235214033
730032136022156416
oct2657370505767405
9433124572162283
10100020210102021
1129962373098a30
12b274705ba7319
1343a6b33203cb1
141a9b00ad8980d
15b86b4dbdd016
hex5af7c517ef05

100020210102021 has 64 divisors (see below), whose sum is σ = 147543009269760. Its totient is φ = 59765802720000.

The previous prime is 100020210101957. The next prime is 100020210102079. The reversal of 100020210102021 is 120201012020001.

It is not a de Polignac number, because 100020210102021 - 26 = 100020210101957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100020210101988 and 100020210102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020210104021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056210351 + ... + 1056305043.

It is an arithmetic number, because the mean of its divisors is an integer number (2305359519840).

Almost surely, 2100020210102021 is an apocalyptic number.

100020210102021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100020210102021 is a deficient number, since it is larger than the sum of its proper divisors (47522799167739).

100020210102021 is a wasteful number, since it uses less digits than its factorization.

100020210102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96138.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100020210102021 its reverse (120201012020001), we get a palindrome (220221222122022).

The spelling of 100020210102021 in words is "one hundred trillion, twenty billion, two hundred ten million, one hundred two thousand, twenty-one".

Divisors: 1 3 11 33 101 303 311 933 1019 1111 3057 3333 3421 10263 11209 31411 33627 94233 94693 102919 284079 308757 316909 345521 950727 1036563 1041623 1132109 3124869 3396327 3485999 9563993 10457997 28691979 29449523 32007809 88348569 96023427 96492167 105203923 289476501 315611769 323944753 352085899 971834259 1056257697 1061413837 2974401823 3184241511 8923205469 9745708867 29237126601 30009063937 32718420053 90027191811 98155260159 107202797537 321608392611 330099703307 990299109921 3030915457637 9092746372911 33340070034007 100020210102021