101021203213131 has 16 divisors (see below), whose sum is σ = 135754182178560. Its totient is φ = 66818081672160.

The previous prime is 101021203213109. The next prime is 101021203213153. The reversal of 101021203213131 is 131312302120101.

It is an interprime number because it is at equal distance from previous prime (101021203213109) and next prime (101021203213153).

It is not a de Polignac number, because 101021203213131 - 2²¹ = 101021201115979 is a prime.

It is a super-2 number, since 2×101021203213131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101021203213098 and 101021203213107.

It is not an unprimeable number, because it can be changed into a prime (101021203203131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27672151 + ... + 31109328.

It is an arithmetic number, because the mean of its divisors is an integer number (8484636386160).

Almost surely, 2^{101021203213131} is an apocalyptic number.

101021203213131 is a deficient number, since it is larger than the sum of its proper divisors (34732978965429).

101021203213131 is a wasteful number, since it uses less digits than its factorization.

101021203213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58785986.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 101021203213131 its reverse (131312302120101), we get a palindrome (232333505333232).

The spelling of 101021203213131 in words is "one hundred one trillion, twenty-one billion, two hundred three million, two hundred thirteen thousand, one hundred thirty-one".