102101131133332 has 144 divisors (see below), whose sum is σ = 192533527771200. Its totient is φ = 47361416675328.

The previous prime is 102101131133329. The next prime is 102101131133333. The reversal of 102101131133332 is 233331131101201.

It is a super-2 number, since 2×102101131133332² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101131133297 and 102101131133306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101131133333) 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, 48642748419 + ... + 48642750517.

It is an arithmetic number, because the mean of its divisors is an integer number (1337038387300).

Almost surely, 2^{102101131133332} is an apocalyptic number.

It is an amenable number.

102101131133332 is a deficient number, since it is larger than the sum of its proper divisors (90432396637868).

102101131133332 is a wasteful number, since it uses less digits than its factorization.

102101131133332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 102101131133332 its reverse (233331131101201), we get a palindrome (335432262234533).

The spelling of 102101131133332 in words is "one hundred two trillion, one hundred one billion, one hundred thirty-one million, one hundred thirty-three thousand, three hundred thirty-two".