101121311010 has 64 divisors (see below), whose sum is σ = 247464232704. Its totient is φ = 26438188800.

The previous prime is 101121310991. The next prime is 101121311099. The reversal of 101121311010 is 10113121101.

It is a super-2 number, since 2×101121311010² (a number of 23 digits) contains 22 as substring.

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, 480292 + ... + 657968.

It is an arithmetic number, because the mean of its divisors is an integer number (3866628636).

Almost surely, 2^101121311010 is an apocalyptic number.

101121311010 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 101121311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123732116352).

101121311010 is an abundant number, since it is smaller than the sum of its proper divisors (146342921694).

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

101121311010 is a wasteful number, since it uses less digits than its factorization.

101121311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178059.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101121311010 its reverse (10113121101), we get a palindrome (111234432111).

The spelling of 101121311010 in words is "one hundred one billion, one hundred twenty-one million, three hundred eleven thousand, ten".