101051622312 has 128 divisors (see below), whose sum is σ = 264113740800. Its totient is φ = 32182272000.

The previous prime is 101051622311. The next prime is 101051622349. The reversal of 101051622312 is 213226150101.

It is a happy number.

It is a super-2 number, since 2×101051622312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101051622311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29229288 + ... + 29232744.

It is an arithmetic number, because the mean of its divisors is an integer number (2063388600).

Almost surely, 2^101051622312 is an apocalyptic number.

101051622312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101051622312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132056870400).

101051622312 is an abundant number, since it is smaller than the sum of its proper divisors (163062118488).

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

101051622312 is a wasteful number, since it uses less digits than its factorization.

101051622312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 101051622312 its reverse (213226150101), we get a palindrome (314277772413).

The spelling of 101051622312 in words is "one hundred one billion, fifty-one million, six hundred twenty-two thousand, three hundred twelve".