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101012020220111 = 71113301813343531
BaseRepresentation
bin10110111101111010110001…
…100101010101000011001111
3111020122122200100220101220012
4112331322301211111003033
5101214440104134020421
6554500140444143435
730163610012111630
oct2675726145250317
9436578610811805
10101012020220111
112a204a59044380
12b3b4981237b7b
134449514805960
141ad301781b887
15ba284b44c95b
hex5bdeb19550cf

101012020220111 has 32 divisors (see below), whose sum is σ = 135629064915456. Its totient is φ = 72653569488000.

The previous prime is 101012020220081. The next prime is 101012020220143. The reversal of 101012020220111 is 111022020210101.

It is a cyclic number.

It is not a de Polignac number, because 101012020220111 - 218 = 101012019957967 is a prime.

It is a super-2 number, since 2×1010120202201112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012020220161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28539416 + ... + 31882946.

It is an arithmetic number, because the mean of its divisors is an integer number (4238408278608).

Almost surely, 2101012020220111 is an apocalyptic number.

101012020220111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101012020220111 is a deficient number, since it is larger than the sum of its proper divisors (34617044695345).

101012020220111 is a wasteful number, since it uses less digits than its factorization.

101012020220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373743.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101012020220111 its reverse (111022020210101), we get a palindrome (212034040430212).

The spelling of 101012020220111 in words is "one hundred one trillion, twelve billion, twenty million, two hundred twenty thousand, one hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 30181 211267 331991 392353 2323937 2746471 3343531 4315883 23404717 30211181 36778841 43465903 257451887 304261321 478124933 3346874531 100911109111 706377763777 1110022200221 1311844418443 7770155401547 9182910929101 14430288602873 101012020220111