101012021021205 has 48 divisors (see below), whose sum is σ = 204753492028800. Its totient is φ = 45103041938304.

The previous prime is 101012021021123. The next prime is 101012021021237. The reversal of 101012021021205 is 502120120210101.

It is not a de Polignac number, because 101012021021205 - 2⁷ = 101012021021077 is a prime.

It is a super-2 number, since 2×101012021021205² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3728743230 + ... + 3728770319.

It is an arithmetic number, because the mean of its divisors is an integer number (4265697750600).

Almost surely, 2^{101012021021205} is an apocalyptic number.

101012021021205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101012021021205 is an abundant number, since it is smaller than the sum of its proper divisors (103741471007595).

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

101012021021205 is a wasteful number, since it uses less digits than its factorization.

101012021021205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7457513610 (or 7457513607 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 101012021021205 its reverse (502120120210101), we get a palindrome (603132141231306).

The spelling of 101012021021205 in words is "one hundred one trillion, twelve billion, twenty-one million, twenty-one thousand, two hundred five".