101002120102010 has 32 divisors (see below), whose sum is σ = 181836184996800. Its totient is φ = 40393655648640.

The previous prime is 101002120102003. The next prime is 101002120102031. The reversal of 101002120102010 is 10201021200101.

101002120102010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101002120101982 and 101002120102000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1816263086 + ... + 1816318694.

It is an arithmetic number, because the mean of its divisors is an integer number (5682380781150).

Almost surely, 2^{101002120102010} is an apocalyptic number.

101002120102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002120102010 is a deficient number, since it is larger than the sum of its proper divisors (80834064894790).

101002120102010 is a wasteful number, since it uses less digits than its factorization.

101002120102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84686.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101002120102010 its reverse (10201021200101), we get a palindrome (111203141302111).

The spelling of 101002120102010 in words is "one hundred one trillion, two billion, one hundred twenty million, one hundred two thousand, ten".