100212122021011 has 48 divisors (see below), whose sum is σ = 137582879166720. Its totient is φ = 70858940780160.

The previous prime is 100212122020961. The next prime is 100212122021017. The reversal of 100212122021011 is 110120221212001.

It is not a de Polignac number, because 100212122021011 - 2²¹ = 100212119923859 is a prime.

It is a super-2 number, since 2×100212122021011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100212122021017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64494300 + ... + 66029833.

It is an arithmetic number, because the mean of its divisors is an integer number (2866309982640).

Almost surely, 2^{100212122021011} is an apocalyptic number.

100212122021011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100212122021011 is a deficient number, since it is larger than the sum of its proper divisors (37370757145709).

100212122021011 is a wasteful number, since it uses less digits than its factorization.

100212122021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130524236 (or 130524223 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100212122021011 its reverse (110120221212001), we get a palindrome (210332343233012).

The spelling of 100212122021011 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, twenty-one thousand, eleven".