100102011020111 has 32 divisors (see below), whose sum is σ = 104697767116800. Its totient is φ = 95599020666240.

The previous prime is 100102011020071. The next prime is 100102011020119. The reversal of 100102011020111 is 111020110201001.

It is a cyclic number.

It is not a de Polignac number, because 100102011020111 - 2³⁸ = 99827133113167 is a prime.

It is a super-2 number, since 2×100102011020111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100102011020092 and 100102011020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102011020119) 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, 3474905270 + ... + 3474934076.

It is an arithmetic number, because the mean of its divisors is an integer number (3271805222400).

Almost surely, 2^{100102011020111} is an apocalyptic number.

100102011020111 is a deficient number, since it is larger than the sum of its proper divisors (4595756096689).

100102011020111 is a wasteful number, since it uses less digits than its factorization.

100102011020111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33039.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100102011020111 its reverse (111020110201001), we get a palindrome (211122121221112).

The spelling of 100102011020111 in words is "one hundred trillion, one hundred two billion, eleven million, twenty thousand, one hundred eleven".