101021102012020 has 12 divisors (see below), whose sum is σ = 212144314225284. Its totient is φ = 40408440804800.

The previous prime is 101021102011993. The next prime is 101021102012101. The reversal of 101021102012020 is 20210201120101.

It can be written as a sum of positive squares in 2 ways, for example, as 68049366633616 + 32971735378404 = 8249204^2 + 5742102^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2525527550281 + ... + 2525527550320.

It is an arithmetic number, because the mean of its divisors is an integer number (17678692852107).

Almost surely, 2^{101021102012020} is an apocalyptic number.

101021102012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021102012020 is an abundant number, since it is smaller than the sum of its proper divisors (111123212213264).

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

101021102012020 is a wasteful number, since it uses less digits than its factorization.

101021102012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051055100610 (or 5051055100608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101021102012020 its reverse (20210201120101), we get a palindrome (121231303132121).

The spelling of 101021102012020 in words is "one hundred one trillion, twenty-one billion, one hundred two million, twelve thousand, twenty".