10102101110010 has 384 divisors, whose sum is σ = 33294823511040. Its totient is φ = 2067929284608.

The previous prime is 10102101109939. The next prime is 10102101110053. The reversal of 10102101110010 is 1001110120101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102101109974 and 10102101110001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106922371 + ... + 107016809.

It is an arithmetic number, because the mean of its divisors is an integer number (86705269560).

Almost surely, 2^{10102101110010} is an apocalyptic number.

10102101110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102101110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16647411755520).

10102101110010 is an abundant number, since it is smaller than the sum of its proper divisors (23192722401030).

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

10102101110010 is a wasteful number, since it uses less digits than its factorization.

10102101110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94862 (or 94859 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10102101110010 its reverse (1001110120101), we get a palindrome (11103211230111).

The spelling of 10102101110010 in words is "ten trillion, one hundred two billion, one hundred one million, one hundred ten thousand, ten".