101202211312 has 60 divisors (see below), whose sum is σ = 205095423400. Its totient is φ = 48372660864.

The previous prime is 101202211309. The next prime is 101202211339. The reversal of 101202211312 is 213112202101.

It is a super-2 number, since 2×101202211312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24687439 + ... + 24691537.

Almost surely, 2^101202211312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102547711700).

101202211312 is an abundant number, since it is smaller than the sum of its proper divisors (103893212088).

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

101202211312 is a wasteful number, since it uses less digits than its factorization.

101202211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7070 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101202211312 its reverse (213112202101), we get a palindrome (314314413413).

The spelling of 101202211312 in words is "one hundred one billion, two hundred two million, two hundred eleven thousand, three hundred twelve".