101202202001142 has 64 divisors (see below), whose sum is σ = 249360617041920. Its totient is φ = 30164590749600.

The previous prime is 101202202001141. The next prime is 101202202001267. The reversal of 101202202001142 is 241100202202101.

101202202001142 is a `hidden beast` number, since 10 + 120 + 220 + 200 + 114 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202202001141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1396472598 + ... + 1396545065.

It is an arithmetic number, because the mean of its divisors is an integer number (3896259641280).

Almost surely, 2^{101202202001142} is an apocalyptic number.

101202202001142 is an abundant number, since it is smaller than the sum of its proper divisors (148158415040778).

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

101202202001142 is a wasteful number, since it uses less digits than its factorization.

101202202001142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793017746 (or 2793017740 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101202202001142 its reverse (241100202202101), we get a palindrome (342302404203243).

The spelling of 101202202001142 in words is "one hundred one trillion, two hundred two billion, two hundred two million, one thousand, one hundred forty-two".