100102122120000 has 4480 divisors, whose sum is σ = 462962486181888. Its totient is φ = 18413568000000.

The previous prime is 100102122119971. The next prime is 100102122120029. The reversal of 100102122120000 is 21221201001.

It is an interprime number because it is at equal distance from previous prime (100102122119971) and next prime (100102122120029).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 448888439889 + ... + 448888440111.

Almost surely, 2^{100102122120000} is an apocalyptic number.

100102122120000 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 100102122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231481243090944).

100102122120000 is an abundant number, since it is smaller than the sum of its proper divisors (362860364061888).

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

100102122120000 is a wasteful number, since it uses less digits than its factorization.

100102122120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102122120000 its reverse (21221201001), we get a palindrome (100123343321001).

The spelling of 100102122120000 in words is "one hundred trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty thousand".