211211020120100 has 288 divisors, whose sum is σ = 617027252894976. Its totient is φ = 60605078169600.

The previous prime is 211211020119971. The next prime is 211211020120109. The reversal of 211211020120100 is 1021020112112.

It is a super-2 number, since 2×211211020120100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (211211020120109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34508882 + ... + 40165718.

Almost surely, 2^{211211020120100} is an apocalyptic number.

211211020120100 is a gapful number since it is divisible by the number (20) 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 211211020120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308513626447488).

211211020120100 is an abundant number, since it is smaller than the sum of its proper divisors (405816232774876).

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

211211020120100 is a wasteful number, since it uses less digits than its factorization.

211211020120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657255 (or 5657248 counting only the distinct ones).

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

Adding to 211211020120100 its reverse (1021020112112), we get a palindrome (212232040232212).

The spelling of 211211020120100 in words is "two hundred eleven trillion, two hundred eleven billion, twenty million, one hundred twenty thousand, one hundred".