211121210010100 has 36 divisors (see below), whose sum is σ = 493374027703564. Its totient is φ = 77952446772480.

The previous prime is 211121210010089. The next prime is 211121210010121. The reversal of 211121210010100 is 1010012121112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 59583238884324 + 151537971125776 = 7719018^2 + 12310076^2 .

It is a super-2 number, since 2×211121210010100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81200464089 + ... + 81200466688.

Almost surely, 2^{211121210010100} is an apocalyptic number.

211121210010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121210010100 is an abundant number, since it is smaller than the sum of its proper divisors (282252817693464).

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

211121210010100 is a wasteful number, since it uses less digits than its factorization.

211121210010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162400930804 (or 162400930797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211121210010100 its reverse (1010012121112), we get a palindrome (212131222131212).

The spelling of 211121210010100 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred ten million, ten thousand, one hundred".