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101111002012020 = 2235721113523459847
BaseRepresentation
bin10110111111010110111101…
…010110111001100101110100
3111021000010011120121102020010
4112333112331112321211310
5101223100313003341040
6555013430355340220
730204012613342500
oct2677267526714564
9437003146542203
10101111002012020
112a242a3174a690
12b40bba5bb1670
13445595a3a15b0
141ad7b27551300
15ba51e10aae80
hex5bf5bd5b9974

101111002012020 has 576 divisors, whose sum is σ = 387649303566336. Its totient is φ = 19356794311680.

The previous prime is 101111002011997. The next prime is 101111002012021. The reversal of 101111002012020 is 20210200111101.

It is a super-3 number, since 3×1011110020120203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101111002011987 and 101111002012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111002012021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219649737 + ... + 220109583.

It is an arithmetic number, because the mean of its divisors is an integer number (673002263136).

Almost surely, 2101111002012020 is an apocalyptic number.

101111002012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111002012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193824651783168).

101111002012020 is an abundant number, since it is smaller than the sum of its proper divisors (286538301554316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101111002012020 is a wasteful number, since it uses less digits than its factorization.

101111002012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460420 (or 460411 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101111002012020 its reverse (20210200111101), we get a palindrome (121321202123121).

The spelling of 101111002012020 in words is "one hundred one trillion, one hundred eleven billion, two million, twelve thousand, twenty".