101012001102 has 40 divisors (see below), whose sum is σ = 226369558800. Its totient is φ = 33666523776.

The previous prime is 101012001091. The next prime is 101012001113. The reversal of 101012001102 is 201100210101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101012001091) and next prime (101012001113).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1462974 + ... + 1530462.

It is an arithmetic number, because the mean of its divisors is an integer number (5659238970).

Almost surely, 2^101012001102 is an apocalyptic number.

101012001102 is an abundant number, since it is smaller than the sum of its proper divisors (125357557698).

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

101012001102 is an equidigital number, since it uses as much as digits as its factorization.

101012001102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76742 (or 76733 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101012001102 its reverse (201100210101), we get a palindrome (302112211203).

The spelling of 101012001102 in words is "one hundred one billion, twelve million, one thousand, one hundred two".