100414011120102 has 96 divisors (see below), whose sum is σ = 222840194653440. Its totient is φ = 32669102760000.

The previous prime is 100414011120083. The next prime is 100414011120121. The reversal of 100414011120102 is 201021110414001.

100414011120102 is a `hidden beast` number, since 1 + 0 + 0 + 41 + 401 + 1 + 120 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (100414011120083) and next prime (100414011120121).

It is a super-2 number, since 2×100414011120102² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1138294777 + ... + 1138382987.

It is an arithmetic number, because the mean of its divisors is an integer number (2321252027640).

Almost surely, 2^{100414011120102} is an apocalyptic number.

100414011120102 is an abundant number, since it is smaller than the sum of its proper divisors (122426183533338).

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

100414011120102 is a wasteful number, since it uses less digits than its factorization.

100414011120102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97210 (or 97207 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 100414011120102 its reverse (201021110414001), we get a palindrome (301435121534103).

The spelling of 100414011120102 in words is "one hundred trillion, four hundred fourteen billion, eleven million, one hundred twenty thousand, one hundred two".