10722621162100 has 36 divisors (see below), whose sum is σ = 24636798979884. Its totient is φ = 4036751495680.

The previous prime is 10722621162073. The next prime is 10722621162109. The reversal of 10722621162100 is 126112622701.

It can be written as a sum of positive squares in 6 ways, for example, as 1398954335076 + 9323666827024 = 1182774^2 + 3053468^2 .

It is a super-2 number, since 2×10722621162100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10722621162109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3153710407 + ... + 3153713806.

It is an arithmetic number, because the mean of its divisors is an integer number (684355527219).

Almost surely, 2^{10722621162100} is an apocalyptic number.

10722621162100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10722621162100 is an abundant number, since it is smaller than the sum of its proper divisors (13914177817784).

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

10722621162100 is a wasteful number, since it uses less digits than its factorization.

10722621162100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307424244 (or 6307424237 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

Adding to 10722621162100 its reverse (126112622701), we get a palindrome (10848733784801).

The spelling of 10722621162100 in words is "ten trillion, seven hundred twenty-two billion, six hundred twenty-one million, one hundred sixty-two thousand, one hundred".