101012121210 has 256 divisors, whose sum is σ = 334300151808. Its totient is φ = 18851097600.

The previous prime is 101012121181. The next prime is 101012121233. The reversal of 101012121210 is 12121210101.

101012121210 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1065655 + ... + 1156565.

It is an arithmetic number, because the mean of its divisors is an integer number (1305859968).

Almost surely, 2^101012121210 is an apocalyptic number.

101012121210 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 101012121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167150075904).

101012121210 is an abundant number, since it is smaller than the sum of its proper divisors (233288030598).

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

101012121210 is a wasteful number, since it uses less digits than its factorization.

101012121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90989.

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

Adding to 101012121210 its reverse (12121210101), we get a palindrome (113133331311).

It can be divided in two parts, 101012 and 121210, that added together give a palindrome (222222).

The spelling of 101012121210 in words is "one hundred one billion, twelve million, one hundred twenty-one thousand, two hundred ten".