101210112000010 has 16 divisors (see below), whose sum is σ = 196191909415656. Its totient is φ = 37369887507648.

The previous prime is 101210111999977. The next prime is 101210112000047. The reversal of 101210112000010 is 10000211012101.

It can be written as a sum of positive squares in 4 ways, for example, as 32342503580209 + 68867608419801 = 5687047^2 + 8298651^2 .

It is a super-3 number, since 3×101210112000010³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389269661409 + ... + 389269661668.

Almost surely, 2^{101210112000010} is an apocalyptic number.

101210112000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101210112000010 is a deficient number, since it is larger than the sum of its proper divisors (94981797415646).

101210112000010 is a wasteful number, since it uses less digits than its factorization.

101210112000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778539323097.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101210112000010 its reverse (10000211012101), we get a palindrome (111210323012111).

The spelling of 101210112000010 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, ten", and thus it is an aban number.