101120222121210 has 48 divisors (see below), whose sum is σ = 262913501107296. Its totient is φ = 26965297838304.

The previous prime is 101120222121199. The next prime is 101120222121211. The reversal of 101120222121210 is 12121222021101.

101120222121210 is a `hidden beast` number, since 1 + 0 + 11 + 202 + 221 + 21 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101120222121211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25975357 + ... + 29613503.

It is an arithmetic number, because the mean of its divisors is an integer number (5477364606402).

Almost surely, 2^{101120222121210} is an apocalyptic number.

101120222121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120222121210 is an abundant number, since it is smaller than the sum of its proper divisors (161793278986086).

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

101120222121210 is a wasteful number, since it uses less digits than its factorization.

101120222121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946987 (or 3946984 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101120222121210 its reverse (12121222021101), we get a palindrome (113241444142311).

The spelling of 101120222121210 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred ten".