10102121112000 has 224 divisors, whose sum is σ = 33368987059200. Its totient is φ = 2692947379200.

The previous prime is 10102121111981. The next prime is 10102121112019. The reversal of 10102121112000 is 21112120101.

It is an interprime number because it is at equal distance from previous prime (10102121111981) and next prime (10102121112019).

It is a super-2 number, since 2×10102121112000² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 69215101 + ... + 69360899.

Almost surely, 2^{10102121112000} is an apocalyptic number.

10102121112000 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 10102121112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684493529600).

10102121112000 is an abundant number, since it is smaller than the sum of its proper divisors (23266865947200).

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

10102121112000 is a wasteful number, since it uses less digits than its factorization.

10102121112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148716 (or 148696 counting only the distinct ones).

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

Adding to 10102121112000 its reverse (21112120101), we get a palindrome (10123233232101).

It can be divided in two parts, 1010212 and 1112000, that added together give a palindrome (2122212).

The spelling of 10102121112000 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, one hundred twelve thousand".