100121362638 has 96 divisors (see below), whose sum is σ = 237948789120. Its totient is φ = 27965995200.

The previous prime is 100121362637. The next prime is 100121362643. The reversal of 100121362638 is 836263121001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 100121362599 and 100121362608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121362633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412293 + ... + 608463.

It is an arithmetic number, because the mean of its divisors is an integer number (2478633220).

Almost surely, 2^100121362638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121362638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118974394560).

100121362638 is an abundant number, since it is smaller than the sum of its proper divisors (137827426482).

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

100121362638 is a wasteful number, since it uses less digits than its factorization.

100121362638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196254 (or 196243 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 100121362638 its reverse (836263121001), we get a palindrome (936384483639).

The spelling of 100121362638 in words is "one hundred billion, one hundred twenty-one million, three hundred sixty-two thousand, six hundred thirty-eight".