10211211220100 has 72 divisors (see below), whose sum is σ = 24173999640000. Its totient is φ = 3712971433600.

The previous prime is 10211211220099. The next prime is 10211211220109. The reversal of 10211211220100 is 102211211201.

It is a super-2 number, since 2×10211211220100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10211211220109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21444401 + ... + 21915399.

It is an arithmetic number, because the mean of its divisors is an integer number (335749995000).

Almost surely, 2^{10211211220100} is an apocalyptic number.

10211211220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211211220100 is an abundant number, since it is smaller than the sum of its proper divisors (13962788419900).

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

10211211220100 is a wasteful number, since it uses less digits than its factorization.

10211211220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490733 (or 490726 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211211220100 its reverse (102211211201), we get a palindrome (10313422431301).

It can be divided in two parts, 1021 and 1211220100, that added together give a palindrome (1211221121).

The spelling of 10211211220100 in words is "ten trillion, two hundred eleven billion, two hundred eleven million, two hundred twenty thousand, one hundred".